1400edo
| ← 1399edo | 1400edo | 1401edo → |
1400edo is consistent in the 5-limit, and aside from that it is poor at simple harmony. In higher limits, it is good at the 2.3.19.23.29.31 subgroup. It provides the optimal patent val for the 5-limit vishnuzmic temperament. It also tempers out the linus comma and the barium comma.
Aside from the patent val, there is a number of mappings to be considered. 1400cd val is a tuning for the 11-limit oquatonic temperament, and 1400ccdd val is a tuning for the 11-limit silicon temperament. It is worth noting, patent val can be considered a tuning for the 2.3.11 subgroup silicon - for which it conveniently provides a 70-tone mos reaching 3/2 in 1 generator up and 11/8 in 3 generators down.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | +0.045 | +0.258 | -0.254 | -0.175 | +0.329 | -0.384 | -0.084 | +0.011 | -0.149 | +0.107 |
| Relative (%) | +0.0 | +5.2 | +30.1 | -29.7 | -20.4 | +38.4 | -44.8 | -9.9 | +1.3 | -17.3 | +12.5 | |
| Steps (reduced) |
1400 (0) |
2219 (819) |
3251 (451) |
3930 (1130) |
4843 (643) |
5181 (981) |
5722 (122) |
5947 (347) |
6333 (733) |
6801 (1201) |
6936 (1336) | |
Subsets and supersets
One step of 1400edo is the relative cent for 14edo.
Scales
- Silicon[70]: (19 24 19 19 19)x14